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Meaning of "primality" in the English dictionary

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DICTIONARY
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PRONUNCIATION OF PRIMALITY

primality  [praɪˈmælɪtɪ] play
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GRAMMATICAL CATEGORY OF PRIMALITY

noun
adjective
verb
adverb
pronoun
preposition
conjunction
determiner
exclamation
Primality is a noun.
A noun is a type of word the meaning of which determines reality. Nouns provide the names for all things: people, objects, sensations, feelings, etc.

WHAT DOES PRIMALITY MEAN IN ENGLISH?

Prime number

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 × 3, 1 × 1 × 3, etc. are all valid factorizations of 3. The property of being prime is called primality. A simple but slow method of verifying the primality of a given number n is known as trial division. It consists of testing whether n is a multiple of any integer between 2 and. Algorithms much more efficient than trial division have been devised to test the primality of large numbers.

Definition of primality in the English dictionary

The definition of primality in the dictionary is the state of being primal. Other definition of primality is the state of being a prime number.

WORDS THAT RHYME WITH PRIMALITY


abnormality
ˌæbnɔːˈmælɪtɪ
animality
ˌænɪˈmælɪtɪ
dismality
dɪzˈmælɪtɪ
femality
fiːˈmælɪtɪ
formality
fɔːˈmælɪtɪ
functionality
ˌfʌŋkʃənˈælɪtɪ
hospitality
ˌhɒspɪˈtælɪtɪ
informality
ˌɪnfɔːˈmælɪtɪ
locality
ləʊˈkælɪtɪ
lognormality
ˌlɒɡnɔːˈmælɪtɪ
mammality
məˈmælɪtɪ
normality
nɔːˈmælɪtɪ
optimality
ˌɒptɪˈmælɪtɪ
paranormality
ˌpærənɔːˈmælɪtɪ
personality
ˌpɜːsəˈnælɪtɪ
phantasmality
ˌfæntəzˈmælɪtɪ
reality
rɪˈælɪtɪ
spirituality
ˌspɪrɪtjʊˈælɪtɪ
subnormality
ˌsʌbnɔːˈmælɪtɪ
supernormality
ˌsuːpənɔːˈmælɪtɪ

WORDS THAT BEGIN LIKE PRIMALITY

prima-facie evidence
primacies
primacy
primaeval
primaevally
primage
primal
primal scream
primal scream therapy
primal therapy
primally
primaquine
primaries
primarily
primariness
primary
primary accent
primary care
primary cell
primary colour

WORDS THAT END LIKE PRIMALITY

ability
air quality
augmented reality
confidentiality
equality
in reality
inequality
infant mortality
legality
low-quality
mentality
morality
mortality
municipality
nationality
originality
plurality
quality
sexuality
speciality
vitality

Synonyms and antonyms of primality in the English dictionary of synonyms

SYNONYMS

Translation of «primality» into 25 languages

TRANSLATOR
online translator

TRANSLATION OF PRIMALITY

Find out the translation of primality to 25 languages with our English multilingual translator.
The translations of primality from English to other languages presented in this section have been obtained through automatic statistical translation; where the essential translation unit is the word «primality» in English.

Translator English - Chinese

素性
1,325 millions of speakers

Translator English - Spanish

primalidad
570 millions of speakers

English

primality
510 millions of speakers

Translator English - Hindi

primality
380 millions of speakers
ar

Translator English - Arabic

بريماليتي
280 millions of speakers

Translator English - Russian

простота
278 millions of speakers

Translator English - Portuguese

primality
270 millions of speakers

Translator English - Bengali

primality
260 millions of speakers

Translator English - French

primalité
220 millions of speakers

Translator English - Malay

Primitif
190 millions of speakers

Translator English - German

Primzahl
180 millions of speakers

Translator English - Japanese

素数性
130 millions of speakers

Translator English - Korean

소수성
85 millions of speakers

Translator English - Javanese

Primality
85 millions of speakers
vi

Translator English - Vietnamese

nguyên tố
80 millions of speakers

Translator English - Tamil

பகாப்பண்பு
75 millions of speakers

Translator English - Marathi

महत्त्व
75 millions of speakers

Translator English - Turkish

asallık
70 millions of speakers

Translator English - Italian

primalità
65 millions of speakers

Translator English - Polish

pierwszości
50 millions of speakers

Translator English - Ukrainian

простота
40 millions of speakers

Translator English - Romanian

primality
30 millions of speakers
el

Translator English - Greek

primality
15 millions of speakers
af

Translator English - Afrikaans

primaliteits
14 millions of speakers
sv

Translator English - Swedish

primality
10 millions of speakers
no

Translator English - Norwegian

primality
5 millions of speakers

Trends of use of primality

TRENDS

TENDENCIES OF USE OF THE TERM «PRIMALITY»

The term «primality» is regularly used and occupies the 102.521 position in our list of most widely used terms in the English dictionary.
0
100%
FREQUENCY
Regularly used
52
/100
The map shown above gives the frequency of use of the term «primality» in the different countries.
Principal search tendencies and common uses of primality
List of principal searches undertaken by users to access our English online dictionary and most widely used expressions with the word «primality».

FREQUENCY OF USE OF THE TERM «PRIMALITY» OVER TIME

The graph expresses the annual evolution of the frequency of use of the word «primality» during the past 500 years. Its implementation is based on analysing how often the term «primality» appears in digitalised printed sources in English between the year 1500 and the present day.

Examples of use in the English literature, quotes and news about primality

EXAMPLES

10 ENGLISH BOOKS RELATING TO «PRIMALITY»

Discover the use of primality in the following bibliographical selection. Books relating to primality and brief extracts from same to provide context of its use in English literature.
1
Primality Testing in Polynomial Time: From Randomized ...
On August 6, 2002,a paper with the title “PRIMES is in P”, by M. Agrawal, N. Kayal, and N. Saxena, appeared on the website of the Indian Institute of Technology at Kanpur, India.
Martin Dietzfelbinger, 2004
2
Primality Testing and Integer Factorization in Public-Key ...
Intended for advanced level students in computer science and mathematics, this key text, now in a brand new edition, provides a survey of recent progress in primality testing and integer factorization, with implications for factoring based ...
Song Y. Yan, 2009
3
Edouard Lucas and Primality Testing
Describes the development and extension of fundamental idea of Edouard Lucas, a French mathematician and mathematical recreationist, that is still used today in the verification of the largest primes.
Hugh C. Williams, 1998
4
Primality and cryptography
Provides a general framework for the theoretical study of public key cryptography and pseudorandom generators. Unique in its approach, the book will be a valuable addition to computer literature.
Evangelos Kranakis, 1986
5
History of the Theory of Numbers
The treatment here is more general than in Volume II, which, in a sense, is more concerned with special cases. Indeed, this volume chiefly presents methods of attacking whole classes of problems.
Leonard Eugene Dickson, 1999
6
Primality Testing for Beginners:
Lasse Rempe-Gillen, Rebecca Waldecker. (b) Compute the remainder b of 2d after division by n. (c) Compute b2, b4, and b8 (modulo n). (d)Conclude,using Theorem 4.5.3, thatniscomposite. Further Exercises and Comments. 4.5.9.
Lasse Rempe-Gillen, Rebecca Waldecker, 2013
7
Primality testing and Abelian varieties over finite fields
From Gauss to G]del, mathematicians have sought an efficient algorithm to distinguish prime numbers from composite numbers. This book presents a random polynomial time algorithm for the problem.
Leonard M. Adleman, Ming-Deh A. Huang, 1992
8
Prime Numbers and Computer Methods for Factorization
Strong Pseudoprimes and a Primality Test The idea of using Euler's criterion instead of Fermat's theorem to distinguish between primes and composites can be carried a little further. In doing so we arrive at the concept strong pseudoprime , ...
Hans Riesel, 2011
9
A Course in Number Theory and Cryptography
V. Primality. and. Factoring. There are many situations where one wants to know if a large number n is prime. For example, in the RSA public key cryptosystem and in various cryptosystems based on the discrete log problem in finite fields, we ...
NEAL Koblitz, 1994
10
Encyclopedia of Cryptography and Security
P. P Prime Number. Table Some common primality proving algorithms Based. being prime is about ln(x), and this chance becomes at least ln(x) if only odd integers are tested since all of the even integers greater than  are composite.
Henk C.A. van Tilborg, Sushil Jajodia, 2011

10 NEWS ITEMS WHICH INCLUDE THE TERM «PRIMALITY»

Find out what the national and international press are talking about and how the term primality is used in the context of the following news items.
1
Scared of summer? You should be…
This heat that bodes badly for the summer/civilisation, this heat that brings our primality to the surface. Fear. It blows in on the heat. So Paris is ... «The Guardian, Jul 15»
2
National Academy of Sciences Elects New Members for 2015
... for the problem and then working with two of his students, in 2002, he designed the first deterministic polynomial-time test for primality. «India West, May 15»
3
Okay Girls: Would You Have Sex With Richard Branson?
It will be such a good laugh, and then his friends will scuttle away—and it will be you and Richard, alone in your primality, facing each other like ... «Jezebel, Apr 15»
4
From Mathematics to Generic Programming
Next we look at permutation algorithms, extensions of the GCD and a chapter on real worked applications - cryptography, primality testing and ... «iProgrammer, Mar 15»
5
Why Left-Libs failed Indian scientists?
Not many outside the interested readers and math circles know about AKS primality test which was the result of a brilliant paper by IIT btech ... «Niticentral, Jan 15»
6
Cosby: His Life And Times by Mark Whitaker
... including his well-publicised philanthrophy, primality for the education causes now close to his heart after squandering his own opportunities. «Chortle, Jan 15»
7
IISC Muddle – UGC's actions damage Institutions of Higher Education
Are they even aware of the fact that one of the monumental achievements of Indian academia in recent years – the AKS primality testing ... «Niticentral, Aug 14»
8
Shin Yu Pai. • Photo by Daniel Carrillo
But the commitment to and primality of language has also been a concurrent area of exploration and interest, given that there is a large cultural ... «The International Examiner, Aug 14»
9
Roberto Cavalli Logo Angers Sufi Muslims In Toronto (VIDEO)
“Cavalli says it represents a snake bite, and that snake bite represents sexuality, primality. It's in diametric opposition to what this symbol means ... «Huffington Post Canada, Jul 14»
10
How Cryptocurrency Mining Could Help Archive Society's Important …
"The main practical benefit is that it provides incentives to the development of primality testing related ASIC computing devices, which is a great ... «CoinDesk, Jun 14»

REFERENCE
« EDUCALINGO. Primality [online]. Available <https://educalingo.com/en/dic-en/primality>. Apr 2024 ».
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